Answer:
A = 2.25πStep-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
We have:
[tex]C=3\pi[/tex]
Substitute:
[tex]2\pi r=3\pi[/tex] divide both sides by 2π
[tex]r=1.5[/tex]
Substitute:
[tex]A=\pi(1.5)^2=2.25\pi[/tex]
This answer is correct, I double checked it and got it right on the assignment in OW. :)
help me with this question please!
Answer:
I believe it is A. Truly sorry if I am incorrect.
Step-by-step explanation:
I used an online calculator.
The CORRECT answer is B
Express the square root of -80 in its simplest terms.
A- cannot be determined
B- 8i sqrt 10
C- 4i sqrt 5
D- 2i sqrt 20
Answer:
C
Step-by-step explanation:
noting that [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-80}[/tex]
= [tex]\sqrt{16(-1)(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]
= 4i[tex]\sqrt{5}[/tex] → C
The square root of -80, expressed in simplest terms, is 4i sqrt 5, where 'i' is the imaginary unit.So,option C is correct.
To express the square root of -80 in its simplest terms, we need to use the imaginary unit i, which is defined as the square root of -1. We can rewrite -80 as -1 imes 80, and thus the square root of -80 as the square root of -1 times the square root of 80. We know that the square root of -1 is i, and the square root of 80 can be simplified to the square root of 16 times the square root of 5, which is 4 times the square root of 5. Combining these, we get:
√-80 = √(-1 times 80)
= √-1 times √80
= i times 4√5
= 4i√5.
The correct answer is C- 4i sqrt 5.
Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs Gas Extra Miles Misc. Total Cost
$670.60 $200.00 warranty $82.00 $100.00 $62.50
Answer:
maybe this Total cost
=383.17+200+82+300+62.50
=1,027.67
Step-by-step explanation:
Answer:
$1115.10
Step-by-step explanation:
Total cost will be the sum of all individual expenses i.e.
[tex]670.60 + 200.00 + 82.00 + 100.00 + 62.50 = 1115.10[/tex]
∴ The total cost will be $1115.10
Can someone give me an explanation of how to do this.
[tex]\bf \sqrt{6x^2}\cdot \sqrt{18x^2}\implies \sqrt{(6x^2)(18x^2)}\implies \sqrt{108x^2x^2}\implies \sqrt{108(x^2)^2} \\\\\\ \begin{cases} 108=&2\cdot 2\cdot 3\cdot 3\cdot 3\\ &2^2\cdot 3^2\cdot 3\\ &(2\cdot 3)^2\cdot 3\\ &6^2\cdot 3 \end{cases}\implies \sqrt{6^2(x^2)^2\cdot 3}\implies 6x^2\sqrt{3}[/tex]
Answer:
the correct answer is option D. 6x²√3
Step-by-step explanation:
It is given that
√6x² * √18x²
To find the value of √6x² * √18x²
√6x² * √18x² = √(6x² ) * (18x²)
= √(6 * 18 x² *x²)
= √(6 * 6 * 3 x² *x²)
= 6x√3
The equivalent of √6x² * √18x² = 6x²√3
Therefore the correct answer is option D. 6x²√3
Mode is used to ascertain what the most repeated data is in the data set.
True or False
The mode is the most frequently occurring value in a data set and is used to find the most repeated data. A data set can be bimodal if it has two modes. So the statement is true.
The statement is true: the mode is used to ascertain the most repeated data in the data set. It is a measure of central tendency that represents the value that occurs most frequently within a set of numbers. If a data set has two modes, it is referred to as bimodal. The mode can be especially useful for understanding the distribution of qualitative or categorical data.
find the third quartile using the box plot shown. A=42. B= 45 C=38. D=48
Answer:
The correct answer is B.
How much is one ninth of three eights
Answer: 3/72, but read the explanantion!
Step-by-step explanation: Since we are trying to find 1/9 of 3/8, which is division, we use the method K, C , F
KCF stands for keep, change, flip.
1/9 (keep) = 1/9
divided by (change) = multiplied by
3/8 (flip) = 8/3
You then proceed with simple multiplication.
1/9*3/8= 3/72
3/72= 4.1666......
Hope this helps!!
Answer:
1/24
Step-by-step explanation:
Multiply:
1 3 1
--- * --- = -----
9 8 24
How do you factor this?
2z^2-12z+10=0
Answer:
This can't be factored right now! But if it is 2z^2+12z+10=0 than it will be factored like this:
2*(z+5)(z+1)
Step-by-step explanation:
2*(z^2+6z+5)=0
2*(z+5)(z+1)
[tex]2x^2-12z+10=0[/tex]
Common multiple is 2.
[tex]2(z^2-6z+5)=0[/tex]
Simplify inside parentheses.
[tex]2(z-5)(z-1)=0[/tex] is your answer
find the value of r in (4, r), (r, 2) so that the slope of the line containing them is -5/3
[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{r})\qquad (\stackrel{x_2}{r}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-r}{r-4}=\stackrel{\stackrel{given}{\downarrow }}{-\cfrac{5}{3}}\implies 3(2-r)=-5(r-4) \\\\\\ 6-3r=-5r+20\implies 6+2r=20\implies 2r=14\implies r=\cfrac{14}{2}\implies r=7[/tex]
Answer:
r = 7
Step-by-step explanation:
looking at the slope -5/3, -5 is the change in y and 3 is the change in x. so, we have to start from the point ( 4 , r ) and get to the next point ( r , 2 ) by using the given slope. we would first add 3 to our x value in the first point since that's our change in x and we would get r = 7. then we can substitute that in the other point and it works perfectly.
i hope this helps :)
What are the solutions to the quadratic equation 6x2 + 24x = 0?
X = 0 and x = 4
x = 0 and x = -4
x = 6 and x = 4
x = 6 and x = -4
X=0 and x=-4 is the answer.
6(0)^2=0+24(0)=0
(6(-4)^2= 96) + (24(-4)=-96)=0.
Hope this helps and hope you have a great day and brainiest is always appreciated
Answer:
Solutions are x =0 and x= -4
Second option is correct.
Step-by-step explanation:
The given quadratic equation is [tex]6x^2+24x=0[/tex]
Factored out GCF
[tex]6x(x+4)=0[/tex]
Apply the Zero product property
[tex]6x=0,x+4=0[/tex]
Solve for x
[tex]x=0,x=-4[/tex]
Therefore, the solutions are x =0 and x= -4
Second option is correct.
Find all solutions of the equation in the interval [0,2pi)
Tan theta -1=0
Write your answer in radians in terms of pi
Answer:
{π/4, 5π/4}
Step-by-step explanation:
Tan theta -1=0 could be rewritten as tan Ф = 1. The tangent function is 1 at Ф = π/4. As the period of the tangent function is π,
tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.
The solution set is {π/4, 5π/4}.
The solutions of the given equation are -1, 0, -2, 0, -2 for the values of θ in the interval [0, 2π) respectively.
How the tangent ratio (tan) is defined?A tangent of an angle is defined as the ratio of the sine of the angle to the cosine of the angle.
tan θ = (sin θ)/(cos θ)
Solving the given equation:The given equation is
tan θ - 1 =0
solving for the values in between [0, 2π)
In this interval, the possible values for θ(in the case of tan) are 0, π/4, 3π/4, 5π/4, and 7π/4.
So, the solutions are:
for θ = 0,
⇒ tan (0) - 1 = -1
for θ = π/4,
⇒ tan(π/4) - 1 = 0
for θ = 3π/4,
⇒ tan(3π/4) - 1 = -2
for θ = 5π/4,
⇒ tan(5π/4) - 1 = 0
for θ = 7π/4,
⇒ tan(7π/4) - 1 = -2
Thus, the solution set for the given equation in the interval [0, 2π) is {-1, 0, -2, 0, -2}
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The SI prefix hecto- is used to designate what value of any unit?
A. 10 × 102
B. 10–5
C. 102
D. 106
Answer:
optioc C [tex]10^{2}[/tex]
Step-by-step explanation:
we know that
Hecto (h) is a decimal unit prefix in the metric system denoting a factor of one hundred
so
[tex]h=100=10^{2}[/tex]
Find A U B. A){3,7}B){3,5,6,7}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}
Answer:
{3,5,6,7}
Step-by-step explanation:
We need only to pick numbers from 2 sums, A and B, together
The union of the two sets is:
A U B = {3, 5, 6, 7, 8, 11, 12}.
Option D is the correct answer.
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, and the complement of sets.
We have,
The union of two sets A and B, denoted as A U B, is the set that contains all elements that are in either set A or set B or in both.
To find A U B, we combine the elements of both sets and remove any duplicates.
A = {3, 5, 6, 7}
B = {6, 7, 8, 11, 12}
To find A U B, we combine the elements of both sets:
A U B = {3, 5, 6, 7, 8, 11, 12}
Therefore,
A U B = {3, 5, 6, 7, 8, 11, 12}.
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The complete question.
A = {3, 5, 6, 7}
B = {6, 7, 8, 11, 12}
Help on this question. This is on Khan Academy
Answer:None of the above it would have to be that's what he pays in 9 months
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Akash is paying $79.99 each month for 3 months. 239.97 is the result of that, so there would be 239.97 less in his checking account.
Which of these functions is a linear function? y + x = 5 y + x2 = -2 y = 2x3 + 1 3x2 + y2 = -4
Answer: First Option
[tex]y + x = 5[/tex]
Step-by-step explanation:
The linear functions have the following form
[tex]ax ^ n + bx ^ m = c[/tex]
Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.
[tex]m=n=1[/tex]
In other words, the linear equations have the form
[tex]ax + by = c[/tex]
Identify among the options the functions that have this form
[tex]y + x = 5[/tex] is a linear function with [tex]a = 1[/tex], [tex]b = 1[/tex], [tex]c = 5[/tex] and [tex]m=n=1[/tex]
[tex]y + x^2 = -2[/tex] is not a linear function because [tex]n\neq 1[/tex].
[tex]y = 2x^3 + 1[/tex] is not a linear function because [tex]n\neq 1[/tex]
[tex]3x^2 + y^2 = -4[/tex] is not a linear function because [tex]n\neq 1[/tex] and [tex]m\neq 1[/tex]
Answer:
y + x = 5
Step-by-step explanation:
The graph of [tex]y+x=5[/tex] is a straight line
The graph of [tex]y+x^2=-2[/tex] is a parabola.
The graph of [tex]y=2x^3+1[/tex] is a non-linear curve.
The graph of
[tex]3x^2+y^2=-4[/tex] is an ellipse.
A graph of a linear function is a straight line.
Therefore y + x = 5 is the correct choice.
Katrina earns $9.25 per hour plus a 12% commission on any sales she makes. In one day, she worked for 11 hours, and she made $385 in sales. About how much money did Katrina earn that day?
Katrina earned approximately $147.95 that day.
To calculate how much money Katrina earned in one day, we need to take into account her hourly wage as well as her commission from sales. The first part is straightforward: She works 11 hours at an hourly rate of $9.25. To find this portion of her earnings, we multiply the number of hours by her hourly rate:
11 hours * $9.25 per hour = $101.75
Next, we calculate the commission from her sales. Katrina made $385 in sales and gets a 12% commission on these sales:
12% of $385 = 0.12 * $385 = $46.20
To find Katrina's total earnings for the day, we add her hourly earnings to her commission earnings:
$101.75 (hourly earnings) + $46.20 (commission) = $147.95
Therefore, Katrina earned approximately $147.95 that day
help me thx if u help me
The last option is the answer. x> -4
because as we can see from the number line x is larger than -4 and the dot on the -4 is not filled in so that mean that -4 is not included.
hence the answer is x> -4
B = 7, a + b = 8, a+7 = 8 is an example of which property?
Multiplication property of equality
Addition property of equality
Subtraction property of equality
Division property of equality
Reflexive
Substitution
Distributive
Symmetric
Transitive
Answer:
The answer on edge is
A. the addition property of equality
D. the substitution property of equality
Step-by-step explanation:
cause its the answer
Help Please!!!!!!!!!!
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+3y\leq 6[/tex]
Isolate the variable y
[tex]3y\leq 6-x[/tex]
[tex]y\leq 2-(1/3)x[/tex]
The solution is the shaded area below the solid line
Is below because the symbol of the inequality is less
Is a solid line because the line is included in the solution
The equation of the solid line is [tex]y=2-(1/3)x[/tex]
To graph the solution find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0, x=6 --------> point (6,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0, y=2 -------> point (0,2)
Graph the inequality
see the attached figure
Which function is represented by the graph below? (5 points) f(x) = 3x f(x) = 3x − 3 f(x) = 3x + 3 f(x) = 3(x + 3)
Answer:
The correct function should be f(x) = 3^(x + 3).
A function assigns the values. The function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that can represent the graph below can be found by plotting the function on the calculator.
f(x) = 3ˣ – 3 ⇒ Black
f(x) = 3⁽ˣ⁺³⁾ ⇒ Red
f(x) = 3ˣ ⇒ Blue
f(x) = 3ˣ + 3 ⇒ Green
Hence, the function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.
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Need help please answer this question
Answer:
C
Step-by-step explanation:
Substitute the given values for x and y into the expression
5 × ([tex]\frac{60}{6(5)}[/tex]) - 1
= 5 × ([tex]\frac{60}{30}[/tex]) - 1
= (5 × 2) - 1
= 10 - 1
= 9 → C
Only number 10............
Answer: F. The Theoretical Probability is Greater than the Experimental Probability.
Step-by-step explanation: Theoretical probability gives you the odds of every outcome. With flipping a coin, the outcome odds of tails would always be 1/2. Experimental probability is the actual outcome that results from trials. During trials, tails was flipped 8 times. We can simplify 8/20 flips to find that tails was flipped 2/5 flips. In decimal form, 1/2 simbolizes .5 or 50%. 2/5 simbolizes .4 or 40%. The theoretical probability is greater than the experimental probability.
Which value of x is in the solution set of 2x-3>11-5x
7x>14,x=2። is right answer i think
7x>14,x=2። is right answer i think
Answer:
Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.
Step-by-step explanation:
We need to find the value of x for the equation 2x-3>11-5x
2x-3>11-5x
Adding +5x on both sides:
2x+5x-3>11-5x+5x
7x-3>11
Adding +3 on both sides
7x-3+3>11+3
7x>14
Dividing by 7 on both sides:
7x/7>14/7
x>2
Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.
Y=f(x)=16^x find f(x) when x=1/2
Answer:
4
Step-by-step explanation:
Using the rule of exponents
• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
f(x) = [tex]16^{\frac{1}{2} }[/tex] = [tex]\sqrt{16}[/tex] = 4
Answer:
f(1/2) = 4
Step-by-step explanation:
f(1/2) has the meaning of wherever you see x on the right hand side, you put in 1/2.
f(1/2) = 16^(1/2) = sqrt(16) [A power of 1/2 is a square root]
f(1/2) = 4
Answer: 4
what is 8 times 5/6
Answer:
it is 6.66
Step-by-step explanation:
When planning her crops, Farmer Sue knows that her 15 acres can support apples and pecans. She wants to make $8,500 from her crops. She can make $1,050 per acre of apples (the variable a) and $2,500 per acre of pecans (the variable p). Which equation below would be a constraint in her system of equations? (1 point)
Answer:
A+P=15 or B
Step-by-step explanation:
Trust me u son of a gun. Alexa, play the one song with those guys in paris
What is the slope of the line described by the equation below y = -6x + 3
Answer:
slope = - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 6x + 3 ← is in slope- intercept form
with slope m = - 6
Answer: -6
Step-by-step explanation:
Ap3x
The least common denominator of 1/2, 1/8, and 1/10 is
A. 10.
B. 40.
C. 16.
D. 80.
the answer would be B
Answer: Option B.
Step-by-step explanation:
Descompose the denominator of each fraction into its corresponding prime factors. Then:
[tex]2=2*1\\8=2*2*2=2^3\\10=2*5[/tex]
Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.
Finally you need to multiply them to get that the Least common denominator of [tex]\frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10}[/tex] is. Therefore, this is:
[tex]LCD=2^3*1*5\\LCD=40[/tex]
This matches with the option B.
Which of the following are true statements about a regular polygon? Check all that apply.
The correct statements about any regular polygon are:
A. It is convex.D. Its sides are line segments.E. All of its sides are congruent.F. All of its angles are congruent.What is true about the regular polygon
A regular polygon is convex, meaning all its interior angles are less than 180 degrees.
Its sides are straight line segments.
In a regular polygon, all sides are of equal length (congruent).
Regular polygons have congruent interior angles, meaning all angles within the polygon are equal in measure.
If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?
Answer:
9.19
Step-by-step explanation:
Using Law of sines to find other two lengths:
a/sinA=b/sinB
let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45
a/sin45=13/sin90
a=13sin45
a=13(0.707)
=9.19
As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !